The relevance of the paper topic is justi ed by the reduction of mathematical calculations when interpreting gravitational and magnetic anomalies by applying a well-known method to the initial anomalies. The author designates the purpose of the scienti c research - the development of the application of the methodology for the interpretation of gravimagnetic anomalies, considered in [1-6], under the conditions of some initial gravitational and magnetic anomalies. The article describes the developed two-dimensional methods for interpreting the sensitivity to the shape of eld sources. The technique of mentioned methods is based on the use of the values of the mutually inverse functions of the initial gravimagnetic anomalies. When expressing a gravitational or magnetic anomaly by a direct function y = f (x), the function x = f (y) will be mutually inverse. In the developed methods, the values of the relations c = x/x' are used, where x' is a mutually inverse function of the horizontal rst-order derivative of f (x). 1 It is possible to use the methods when interpreting gravimagnetic anomalies from various geological structures by the method of approximating structures with bodies of regular shape. The result of the research performed is the developed methods of interpreting gravimagnetic anomalies through the solids most often used in practice [7]: an in nite horizontal physical line or a horizontal circular cylinder (magnetic unipolar line), an in nite horizontal physical band (horizontal charged band), an in nite vertical physical band (vertical charged band).